Homework Statement
I'm having difficulty deriving the differential equation, this is what I have so far. In order to solve it, I will be using Matlab, and I'll be using the equation dy/dx ≈ (y(x + dx) - y(x))/dx. Is my derivation correct so far?
Homework Equations
In picture.
The Attempt at a...
Homework Statement
This isn't so much of a problem itself but I found it interesting that on the All About Circuits website, two of the questions give a phase angle for impedance as opposite the angle of current. I understand the current is 90 degrees out of phase with voltage in both RL and RC...
Homework Statement
I have the answer to this question, but I'm trying to understand how to do it.
It's a simple circuit: https://onedrive.live.com/redir?resid=6CDEB7909E9460BA!57382&authkey=!ALscxM1v2OtHZIg&v=3&ithint=photo%2cPNG
(note: Image inserted in-thread by moderator)
The questions...
Homework Statement
A parallel combination of 0.1M Ω resistor and a 10 μF capacitor is connected across a 1.5 V source of negligible resistance. The time (in seconds) required for the capacitor to get charged upto 0.75 V is approximately
(A) ∞
(B) ln 2
(C) log 2
(D) Zero
Homework Equations...
Problem is in the picture below.
The problem is already solved, but I am confused as to why C(dv/dt) is positive and not negative, since the current is coming out of the capacitor and towards the point v(t), which is not away from v(t) like the solution shows. But if I solve the problem with...
1. Situation and Variables:
A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 30 Ω, R3 = 66 Ω and R4 = 113 Ω. The capacitance is C = 64 μF and the battery voltage is V = 12 V. The positive terminal of the...
Hey forum,
So I plan on creating a remote controlled quadcopter and I have a query regarding its propellers' sizes. I read that small propellers require motors with a high KV (RPM per volt), and large propellers need motors with a lower KV. There seems to be a way of determining how to match...
Hello. I would need some clarifications about the impulse response of a RC circuit.
1. Homework Statement
Find the impulse response relative to the vc(t) voltage.
NOTE: delta(t) is the exact dirac's delta of infinite amplitude, not an approximated peak.
Homework Equations
δ(t) = d θ(t) /...
What would be the difference in measuring voltage across the resistor in this position and when resistor and capacitors positions are in different order? And why?
http://people.sinclair.edu/nickreeder/eet1150/PageArt/RCcircuitSimple.gif
Homework Statement
Initially we had a circuit with 2 transistor , we draw the equivalent circuit in the dynamic range and low frequency .
After that we simplified the Circuit by calculatuig Rin after the capacity .
So what we have left is a voltage source (ac) followed by a resistor followed...
This question is slightly related to my other plane, but I didn't want to post in the same thread as I didn't want the other one to get derailed.
If I have blueprints for an RC plane, and I scale down everything by a ratio (let's say 1/2), would it still work just as well? Or would it follow...
Homework Statement
In first place, ignore the source in each circuit, ignore if make sense or not. I placed one sorce in each circuit just for the circuit be more visible.
In second place, ignore the numerical values of the sources, resistors, capacitors and inductors. Think R, L and C in...
Homework Statement
.
Switch http://edugen.wileyplus.com/edugen/courses/crs7165/halliday9781118230725/c27/math/math152.gif in Fig. 27-63 is closed at time http://edugen.wileyplus.com/edugen/courses/crs7165/halliday9781118230725/c27/math/math164.gif, to begin charging an initially uncharged...
Some textbooks like (Numerical recipes the art of scientific computing) derive the DFT as a Riemann sum of the CTFT. With this in mind it would be natural then to approximate the identity
##y(t)=x*h=\mathcal{F}^{-1}\big\{XH\big\}##
with the mathlab code y=ifft(fft(x).*fft(h)) which roughly...
In a simple series RC circuit, when t=RC, the voltage across the resistor and capacitor is the same. Why is this physically significant and why do we choose this as the time constant that dictates the cutoff frequency?
Homework Statement
Hi there. I have a simple RC circuit with a battery voltage of 10 V, R = 1 Ω, C = 1 F and a switch. I want to use the Explicit Euler (forward divided difference) to solve the equation and check for stability, rather than using a ODE. I am finding the equation for when the...
If, by some means, the distance between the parallel plates of the capacitor is reduced to half of what it was before, would the time constant change? If yes, then what would be the new time constant?
Look this schematic picture:
S means source and can be a current source or a voltage source. C_1, C_2 and C_3 are linear components, can be resistor, capacitor and inductor.
In the everycircuit, I tried set up all possible combination and the everycircuit denied some combinations, but...
Homework Statement
Suppose an RC series circuit has a variable resistor. If the resistance at time t is given by by R = a + bt, where a and b are known positive constants then the charge q(t) on the capacitor satisfies
(a+bt) q' + (1/C)q = V
where V is some constant. Also q(0) = q_0
Find q(t)...
How is it derived?
The cutoff frequency is Fc = 1/2piRC. R = resistance, C = capacitance.
I read somewhere it has to do with Laplace Transforms, but I'm not sure where to go from here. It kind of irks me to just accept this equation without some proof.
Thanks!
Edit: sorry i realized i posted this in the wrong section. Can some move it to hw? Thank you.
Hey i was studying intro E&M recently and i started learning about RC circuits. Up until this point everything, concept wise, has made sense for me. Then I learned how RC circuits work, and the math...
Homework Statement
I have an RC circuit with two capacitors connected in parallel. Both capacitors are initially charged to 45.0 V.
a.) How long after closing the switch S will the potential across each capacitor be reduced to 10.0V?
Knowns:
C1= 15.0 microFarads
C2= 20.0 microFarads
R1= 30.0...
Homework Statement
Switch S, shown in the figure below, is closed after having been open for a long time.
1) What is the initial value of the battery current just after switch S is closed?
2) What is the battery current a long time after switch S is closed?
Homework Equations
V=IR C=Q/V
The...
Homework Statement
Calculate the voltage, current, and power across the two resistors for every second of run 1 in the RC circuit.
The RC Circuit:
The settings of the circuit:
The Graph. The capacitor is charged until it reaches 5.0 V and then discharged until it reaches 1.0 V. This...
Hello.
Maybe this is very basic and important question for circuit analysis. Please see the attached image.
KCL (Kirchhoff's Current Law) is applied to red arrow-indicated point and I choose the convention that current flowing out from the point is positive.
- side of the capacitor is...
Homework Statement
Given the circuit in the picture, I need to:
a. write a system of diff. equations that could solve the charges on each cap. and current on each resistor, and write them in a vector/matrix form.
b. solve the equations for t>>τ
Homework Equations
Kirchoff's laws, perhaps...
Hi, I have a question. So, I've built this simple RC circuit. Of course, the pulse width is then obtained from the oscilloscope. But, according to equation Vo(t) = E(e^(-t/RC)), the value t (pulse width) is larger. Considering the resistor, condenser, Voh, Vil, IC delay, and others, how should I...
Homework Statement
http://apcentral.collegeboard.com/apc/public/repository/_ap06_frq_physicsc_em_51784.pdf
Please please check out Q2 part (d) on this test
Homework EquationsThe Attempt at a Solution
I understand that before S2 is closed, current through the circuit is zero.
As soon as S2 is...
Homework Statement
1.) If the time to achieve ½ the maximum voltage across the capacitor in an RC circuit is 0.45 s, what is the capacitance in the circuit if the resistance is 150 ohms?
2.) For an RL circuit, the voltage across the inductor drops from 4.0 V to a constant 1.5 V as a current...
Homework Statement
All information is given in the picture posted
Homework Equations
V=IR , Q=CV
The Attempt at a Solution
What I don't understand is , when the capacitors are initially uncharged , they should just be treated as wires , if this is the case , then the entire circuit is...
Homework Statement
Two resistors and two uncharged capacitors are arranged as shown above. Then a potential difference of V0 = 12 V is applied across the combination as shown.
a. What is the potential at point a with S open? (Let V = 0 at the negative terminal of the battery.)
b. What is the...
Hi!
For a university project I have to design a braking mechanism for a remote controlled car. I have very little experience in designing constructions, so I thought I'd ask here for any advice on the matter. I'm mostly curious about the design pattern, the thought process I should be going...
Homework Statement .
[/B]
This is problem 7.45 in Fundamental of Electric Circuit 5th edition.
2. Homework Equations
First off, I want to go ahead and say that I don't need the solution I already solved it.
I went ahead and used Nodal analysis when Vs = 30. I placed a node voltage right...
Homework Statement
Homework Equations
[/B]
Tao = R(th) C
The Attempt at a Solution
The unknown DC circuit model consists of a V(th) and R(th)
Tao = (R(th) + 3000) C , total resistance of circuit is R(th) + 3000
0.004 = (R(th) + 3000) (1x10^-6)
R(th) = 1 kOhm
The V(th) should oppose the...
Homework Statement
R = C = 1;
Homework Equations
G(S) = 1/(s+1)
The Attempt at a Solution
Suppose R = C = 1 then the transfer function from the input voltage to the voltage across the capacitor is 1/ (s+1). So Vc(S) / V(S) = 1/(s+1). Getting back to time-domain: Vc(t) = V(t) * e^-t. What's...
Homework Statement
Homework Equations
q(t) = Cε(1-e^(-t/RC))
The Attempt at a Solution
for part a) the instant the switch is closed there is no charge on the capacitor so I am pretty sure I can ignore it for this part and use keirchoffs rules to find the currents through each resistor...
Homework Statement
An accelerometer is connected via a length of coaxial cable to an amplifier. The arrangement is modeled by:
(a) a Norton generator in parallel with a capacitor (CP) representing the piezoelectric crystal within the accelerometer;
(b) a lumped capacitor (CC) representing...
Hi everybody,
I am a native of Bhutan and have been always contemplating on building a RC helicopter for myself. In this regard,I have studied helicopter aerodynamics and want to swing into action.
The momentum theory seems a bit easy to comprehend and perform calculations there. But I'm unsure...
Homework Statement
[/B]
With a 12V battery, a 5.00µF capacitor and a 8x105Ω resistor determine the following:
a) The time constant of the circuit
b) The maximum charge on the capacitor
c) The maximum current in the circuit
d) The charge on the capacitor as a function of time, q(t)
e)...
Homework Statement
Question is attached below
Homework Equations
v(t) =v(infinity) + [v(t0)-v(infinity)]e^[-(t-t0)]
The Attempt at a Solution
For t<0, you get the circuit where it is only Rt, R, and C, but in dc circuits, the capacitor is an open circuit, does this mean v(t0) =0?
For t>0 the...
Homework Statement
The circuit contains an ideal battery, two resistors and a capacitor (C= 250 μF).The switch is closed at time t = 0, and the voltage across the capacitor is recorded as a function of time as shown in the graph.
Homework Equations
time constant = RCThe Attempt at a...
Hello All,
I am new to the field of electrical ducted fan (EDF) jets and am currently working on a new aerodynamic design using SolidWorks and Flow Simulation for aerodynamics testing. For my computer model, I can enter data for a fan that I would like to use for the thrust of my models, and my...
Two capacitors of value 10, 20 microfarads are
connected in series. Then charged with a 100 volt battery. If the capacitors is
disconnected from the battery, and then connected to a 2500
ohm resistor, what is the voltage across the capacitors after 1 second?
Homework Statement
In the circuit below the switch is initially open and both capacitors initially uncharged. All resistors have the same value R.
a.) Find the current through R2 just after the switch is closed.
b.) Find the current through R2 a long time after the switch has been closed.
c.)...
Homework Statement
Consider the following circuit in a camera flash where a light bulb is in series with a charged capacitor:
a) Derive, but do not solve, the governing differential equation for the circuit. (Hint: treat the resistor and the light bulb as a single resistance.)
b) Assume...
Homework Statement
Basically, I'm just trying to verify that I can do basic algebraic manipulation correctly. The objective: solve the charging equation of a simple RC circuit for (C), capacitance.
Homework Equations
v\left(t\right)={v}_{s}\left(1-{e}^{{-t}/{RC}}\right)
The Attempt at a...
Hi, I am trying to model a full wave single phase thyristor controlled rectifier feeding a resistor and capacitor in parallel (like a power supply I believe where the capacitor is used for smoothing?) and I would like to calculate the average output dc voltage in a similar fashion as for a...
Homework Statement
Hi, I already asked a question close to this, but now I have different conditions.
This is the circuit
C_1 = C_2 \\
R_1= R_2
The current is an AC , and I would like to know the voltage at R_1 and at R_2
I made some progress but I do not really know hot to continue...